A089589 Iban numbers (the letter i is banned from the English name of the number).

0, 1, 2, 3, 4, 7, 10, 11, 12, 14, 17, 20, 21, 22, 23, 24, 27, 40, 41, 42, 43, 44, 47, 70, 71, 72, 73, 74, 77, 100, 101, 102, 103, 104, 107, 110, 111, 112, 114, 117, 120, 121, 122, 123, 124, 127, 140, 141, 142, 143, 144, 147, 170, 171, 172, 173, 174, 177, 200, 201

Offset: 1

Author

Eric W. Weisstein, Nov 09 2003

Keywords

• nonn
• easy
• word
• fini
• full

Comments

Blind numbers. - Cino Hilliard, May 03 2004

There are 30276 terms, ending in 777777. - Michael S. Branicky, Aug 04 2022

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..30276 (full sequence; terms 1..10000 from Reinhard Zumkeller)
• Roel and Bas van Dijk, Numerals package, Hackage (Haskell packages).
• Eric Weisstein's World of Mathematics, Iban Number
• Wikipedia, Names of Large Numbers
• Index entries for sequences related to number of letters in n

Crossrefs

Cf. A006933 (ban e), A008521 (ban o), A008523 (ban t), A089590 (ban u).

Programs

Haskell

import Data.Maybe (fromJust)
import Data.Text (Text); import qualified Data.Text as T (all)
import Text.Numeral.Grammar.Reified (defaultInflection)
import qualified Text.Numeral.Language.EN as EN  -- see link
a089589 n = a089589_list !! (n-1)
a089589_list = filter (T.all (/= 'i') . numeral) [0..] where
   numeral :: Integer -> Text
   numeral = fromJust . EN.gb_cardinal defaultInflection
-- Reinhard Zumkeller, Jan 23 2015

Python

from itertools import islice
from num2words import num2words
def agen(): yield from (k for k in range(10**6) if "i" not in num2words(k))
print(list(islice(agen(), 60))) # Michael S. Branicky, Aug 04 2022